Prime p₀= 2259040541062862699 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2259039245927788991	0 2 6 8 18 20 30 32 36 38	-1295135073708
SPT(16)	2259039782092727209	0 60 70 144 214 228 234 268 354 388 394 408 478 552 562 622	-758970135490
SPT(16)	2259039864897951533	0 6 26 54 110 138 150 158 216 224 236 264 320 348 368 374	-676164911166
SPT(16)	2259039928269997199	0 18 20 38 92 104 108 110 132 134 138 150 204 222 224 242	-612792865500
SPT(16)	2259040039245612079	0 22 72 78 90 112 184 220 252 288 360 382 394 400 450 472	-501817250620
SPT(16)	2259040498399710947	0 26 42 62 120 122 164 176 180 192 234 236 294 314 330 356	-42663151752
SPT(16)	2259040606124831593	0 36 94 96 100 106 124 150 154 180 198 204 208 210 268 304	65061968894
STPT(10)	2259040606207545071	0 2 6 8 18 20 30 32 36 38	65144682372
SPT(16)	2259040656702302293	0 6 10 66 78 106 120 148 156 184 198 226 238 294 298 304	115639439594
STPT(10)	2259040657079976557	0 2 54 56 132 134 210 212 264 266	116017113858
SPT(16)	2259041217644154421	0 66 76 90 100 126 142 192 196 246 262 288 298 312 322 388	676581291722